An improved absolute stability criterion for time-delay Lur’e systems and its frequency domain interpretation. (English) Zbl 1368.93197
Summary: This paper is concerned with absolute stability analysis for time-delay Lur’e systems with both sector- and slope-restricted nonlinearities. A new delay-dependent stability criterion is given by using a Lur’e-Postnikov functional. The additional slope restrictions on the nonlinearities play important roles in improving the absolute stability conditions. Numerical examples are presented to demonstrate the effectiveness of the proposed criterion. Moreover, a frequency domain interpretation for the criterion is presented as well.
MSC:
| 93B51 | Design techniques (robust design, computer-aided design, etc.) |
| 93C10 | Nonlinear systems in control theory |
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 93C15 | Control/observation systems governed by ordinary differential equations |
Keywords:
slope-restricted nonlinearity; delay-dependent criterion; absolute stability; linear matrix inequality (LMI); frequency domain inequality (FDI)References:
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